An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t

Question

3 years ago

12

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t

he altitude cuts the base into two equal segments. The length of the altitude is 21 inches, and the length of the base is 18 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
*High School Level*

Mathematics

1 answer:

irina1246 [14] · Answer 1 · 2022-07-24T12:30:39+03:00

irina1246 [14]3 years ago

3 0

Answer:

63.7 inches

Step-by-step explanation:

half the base is 9 inches, so the equal legs are each

L = √(9² +21²) = 22.8473...

Perimeter = 2(22.8473) + 18 = 63.6946... ≈ 63.7 inches.